Dynamically induced spin-2 mass in a Weyl-invariant framework

Abstract

We combine the ghost-free bimetric theory of gravity with the concept of local Weyl invariance, realized in the framework of Einstein-Cartan gravity. The gravitational sector, characterized by two independent metrics and two independent connections, is coupled to a scalar field that can in principle develop a non-vanishing expectation value through radiative corrections. The spectrum of the model, apart from the massless standard graviton and a pair of axion-like pseudoscalars, associated with the presence of the Holst invariants in the action, includes an additional spin-$2$ state of a non-vanishing Fierz-Pauli mass proportional to the scalar field vacuum expectation value. We analyze the phenomenology of the model and specify the conditions under which the massive spin-$2$ state could be a primary dark matter candidate.

16 pages, 1 figure, matches published version

References in corpus (75)

• Resummation of Massive Gravity
• Bimetric Gravity from Ghost-free Massive Gravity
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• Cosmological solutions with massive gravitons in the bigravity theory
• Recent developments in bimetric theory
• Dynamically Induced Planck Scale and Inflation
• Inflation and Dark Matter in the Higgs Portal of Classically Scale Invariant Standard Model
• Dark matter and neutrino masses from a scale-invariant multi-Higgs portal
• Stable and unstable cosmological models in bimetric massive gravity
• Higgs-Dilaton Cosmology: an effective field theory approach
• On Consistent Theories of Massive Spin-2 Fields Coupled to Gravity
• Heavy spin-2 Dark Matter
• Emergent scale symmetry: Connecting inflation and dark energy
• Scale-invariant alternatives to general relativity
• Massive gravitons as dark matter and gravitational waves
• Scale-Independent Inflation and Hierarchy Generation
• Gravitational Origin of Dark Matter
• Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
• Spontaneous breaking of Weyl quadratic gravity to Einstein action and Higgs potential
• Cosmological perturbations in massive bigravity
• Oscillating Spin-2 Dark Matter
• Dynamically induced Planck scale and inflation in the Palatini formulation
• Scale transformations in metric-affine geometry
• Higgs inflation with the Holst and the Nieh-Yan term
• On the geometrical interpretation of scale-invariant models of inflation
• Embedding inflation into the Standard Model - more evidence for classical scale invariance
• Inflation from Broken Scale Invariance
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Inflation and reheating in theories with spontaneous scale invariance symmetry breaking
• Inflation in Metric-Affine Quadratic Gravity
• Inflation in a scale invariant universe
• Inertial Spontaneous Symmetry Breaking and Quantum Scale Invariance
• Nonminimal Coleman--Weinberg Inflation with an $R^2$ term
• Higgs inflation in Einstein-Cartan gravity
• Minimal but non-minimal inflation and electroweak symmetry breaking
• Black hole solutions in the quadratic Weyl conformal geometric theory of gravity
• Dark matter as a Weyl geometric effect
• Variety of cosmic acceleration models from massive $F(R)$ bigravity
• Evolving Planck Mass in Classically Scale-Invariant Theories
• Dark matter in ghost-free bigravity theory: From a galaxy scale to the universe
• Cosmological gravitational particle production of massive spin-2 particles
• Restricted Weyl invariance in four-dimensional curved spacetime
• Gravity, Scale Invariance and the Hierarchy Problem
• Standard Model with spontaneously broken quantum scale invariance
• New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis
• Inflating and Reheating the Universe with an Independent Affine Connection
• Scale-invariant alternatives to general relativity. III. The inflation--dark-energy connection
• Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
• The Full Quadratic Metric-Affine Gravity (Including Parity Odd Terms): Exact solutions for the Affine-Connection
• Two scalar fields inflation from scale-invariant gravity with modified measure
• Bimetric-Affine Quadratic Gravity
• Spin-2 dark matter from anisotropic Universe in bigravity
• Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance
• Einstein-Cartan pseudoscalaron inflation
• Inflation in Weyl-invariant Einstein-Cartan gravity
• Natural Metric-Affine Inflation
• Testing scale-invariant inflation against cosmological data
• Cosmological implications of the Weyl geometric gravity theory
• Starobinsky Inflation and beyond in Einstein-Cartan Gravity
• Bimetric Starobinsky model
• Dark Matter Production in Weyl $R^2$ Inflation
• $\tilde{\xi }$-attractors in metric-affine gravity
• General Einstein-Cartan quadratic gravity with derivative couplings
• Gravitational Waves from Preheating in Inflation with Weyl Symmetry
• Angular correlation and deformed Hellings-Downs curve from spin-2 ultralight dark matter
• On the absence of ghosts in quadratic bigravity
• Electroweak symmetry breaking by gravity
• Traversable wormholes in bi-metric gravity
• Critical reassessment of the restricted Weyl symmetry
• Probing Spin-2 Ultralight Dark Matter with Space-based Gravitational Wave Detectors in the mHz Regime

Cited by in corpus (2)

• Toward a gravitational network: Bridging metric-affine gravity and no-scale supergravity
• Reheating in geometric Weyl-invariant Einstein-Cartan gravity